Approximation of Urison operator with operator polynomials of Stancu type
arXiv:1110.6409h-index: 13
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This is an incremental theoretical contribution for researchers in approximation theory.
The paper investigates positive polynomial operators of Stancu type that approximate the Urison operator over a regular triangle, with Bernstein polynomials as a special case. No concrete numerical results are reported.
Positive polynomial operator that approximates Urison operator, when integration domain is a "regular triangle" is investigated. We obtain Bernstein Polynomials as a particular case.